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<i>Euclid</i> preparation

J. BelCPT - Centre de Physique Théorique - UMR 7332 (Centre de Physique Théorique Campus de Luminy, Case 907 163 Avenue de Luminy 13288 Marseille cedex 9, France - France)S. Gouyou BeauchampsInstitute of Space Sciences (ICE, CSIC), Campus UABPasquale BarattaAix Marseille Univ, INSERM, MMGL. BlotLaboratoire Univers et ThéoriesC. CarboneINAF-IASF MilanoPier-Stefano CorasanitiInstitut d’Astrophysique de Paris, UMR 7095, CNRS, and Sorbonne UniversitéE SefusattiINFN, Sezione di TriesteS. EscoffierAix-Marseille Université, CNRS/IN2P3, CPPMW GillardAix-Marseille Université, CNRS/IN2P3, CPPMA AmaraSchool of Mathematics and Physics, University of SurreyS AndreonINAF-Osservatorio Astronomico di BreraN AuricchioINAF-Osservatorio di Astrofisica e Scienza dello Spazio di BolognaC. BaccigalupiINFN, Sezione di TriesteM BaldiUniversity of BolognaS BardelliINAF-Osservatorio di Astrofisica e Scienza dello Spazio di BolognaP. BattagliaINAF-Osservatorio di Astrofisica e Scienza dello Spazio di BolognaA. BivianoINAF-Osservatorio Astronomico di TriesteE. BranchiniINAF-Osservatorio Astronomico di BreraM BresciaDepartment of Physics “E. Pancini”, University Federico IIJ BrinchmannFaculdade de Ciências da Universidade do PortoS. CameraINAF-Osservatorio Astrofisico di TorinoG Cañas-HerreraEuropean Space Agency/ESTECV. CapobiancoINAF-Osservatorio Astrofisico di TorinoV.F CardoneINAF-Osservatorio Astronomico di RomaJ. CarreteroCentro de Investigaciones Energéticas, Medioambientales y Tecnológicas (CIEMAT)Santiago CasasInstitute for Theoretical Particle Physics and Cosmology (TTK), RWTH Aachen UniversityM CastellanoINAF-Osservatorio Astronomico di RomaG CastignaniINAF-Osservatorio di Astrofisica e Scienza dello Spazio di BolognaS CavuotiNaples Anesthesia & Physician AssociatesK. C. ChambersInstitute for Astronomy, University of HawaiiA. CimattiDipartimento di Fisica e Astronomia “Augusto Righi” – Alma Mater Studiorum Università di BolognaC Colodro-CondeInstituto de Astrofísica de CanariasG. CongedoUniversity of EdinburghC.J. ConseliceJodrell Bank Centre for Astrophysics, Department of Physics and Astronomy, University of ManchesterL ConversiEuropean Space Agency/ESRINY. CopinInstitut de Physique des 2 Infinis de LyonA. CostilleLAM - Laboratoire d'Astrophysique de Marseille (Pôle de l'Étoile Site de Château-Gombert 38, rue Frédéric Joliot-Curie 13388 Marseille cedex 13 - France)F. CourbinInstitució Catalana de Recerca i Estudis Avançats (ICREA)H.M CourtoisInstitut de Physique des 2 Infinis de LyonA da SilvaDepartamento de Física, Faculdade de Ciências, Universidade de LisboaH. DegaudenziDepartment of Astronomy, University of GenevaChris CarboneAix-Marseille Université, CNRS, CNES, LAMG de LuciaINAF-Osservatorio Astronomico di TriesteF DubathDepartment of Astronomy, University of GenevaC.A.J DuncanInstitute for Astronomy, University of Edinburgh, Royal ObservatoryX. DupacESAC/ESAM. FarinaINAF-Istituto di Astrofisica e Planetologia SpazialiR FarinelliINAF-Osservatorio di Astrofisica e Scienza dello Spazio di BolognaF. FaustiniUnited Kingdom Space AgencyS FerriolInstitute of Nuclear Physics of LyonF FinelliINFN-BolognaN. FourmanoitCPPM - Centre de Physique des Particules de Marseille (163, avenue de Luminy - Case 902 - 13288 Marseille cedex 09 - France)M. FrailisINAF-Osservatorio Astronomico di TriesteE. FranceschiINAF-Osservatorio di Astrofisica e Scienza dello Spazio di BolognaM. FumanaINAF-IASF MilanoS. GaleottaINAF-Osservatorio Astronomico di TriesteKoshy GeorgeUniversitäts-Sternwarte München, Fakultät für Physik, Ludwig-Maximilians-Universität MünchenB. GillisInstitute for Astronomy, University of Edinburgh, Royal ObservatoryC. GiocoliINFN-Sezione di BolognaJ. Gracia-CarpioMax Planck Institute for Extraterrestrial PhysicsA. GrazianINAF-Osservatorio Astronomico di PadovaF. GruppMax Planck Institute for Extraterrestrial PhysicsL. GuzzoINFN-Sezione di MilanoS. V. H. HauganInstitute of Theoretical PhysicsW. HolmesJet Propulsion Laboratory, California Institute of TechnologyF. HormuthFelix Hormuth EngineeringA. HornstrupCosmic Dawn Center (DAWN)K JahnkeMax-Planck-Institut für AstronomieM. JhabvalaNASA Goddard Space Flight CenterB. JoachimiDepartment of Physics and Astronomy, University College LondonE. KeihänenS. KermicheAix-Marseille Université, CNRS/IN2P3, CPPMB. KubikInstitute of Nuclear Physics of LyonM. KunzUniversité de Genève, Département de Physique Théorique and Centre for Astroparticle PhysicsH. Kurki‐SuonioDepartment of PhysicsA. M. C. Le BrunLaboratoire d’etude de l’Univers et des phenomenes eXtremes, Observatoire de Paris, Université PSL, Sorbonne Université, CNRSS LigoriINAF-Osservatorio Astrofisico di TorinoP. B. LiljeInstitute of Theoretical Astrophysics, University of OsloV. LindholmDepartment of PhysicsI. LloroSKA Observatory, Jodrell BankG. MainettiCentre de Calcul de l’IN2P3/CNRSD. MainoDipartimento di Fisica “Aldo Pontremoli”, Università degli Studi di MilanoE. MaioranoINAF-Osservatorio di Astrofisica e Scienza dello Spazio di BolognaO. MansuttiINAF-Osservatorio Astronomico di TriesteO MarggrafUniversität Bonn, Argelander-Institut für AstronomieK. MarkovičJet Propulsion Laboratory, California Institute of TechnologyM. MartinelliINAF-Osservatorio Astronomico di RomaN. MartinetLAM - Laboratoire d'Astrophysique de Marseille (Pôle de l'Étoile Site de Château-Gombert 38, rue Frédéric Joliot-Curie 13388 Marseille cedex 13 - France)F. MarulliINAF-Osservatorio di Astrofisica e Scienza dello Spazio di BolognaR MasseyE. MedinaceliINAF-Osservatorio di Astrofisica e Scienza dello Spazio di BolognaY MellierIAP - Institut d'Astrophysique de Paris (98bis, bd Arago - 75014 Paris France - France)M. MeneghettiINAF-Osservatorio di Astrofisica e Scienza dello Spazio di BolognaE. MerlinNational Institute for AstrophysicsG. MeylanInstitute of Physics, Laboratory of Astrophysics, Ecole Polytechnique Fédérale de Lausanne (EPFL), Observatoire de SauvernyA. MoraTelespazio UK S.L. for European Space Agency (ESA)M. MorescoDipartimento di Fisica e Astronomia “Augusto Righi” – Alma Mater Studiorum Università di BolognaL. MoscardiniDipartimento di Fisica e Astronomia “Augusto Righi” – Alma Mater Studiorum Università di BolognaC. NeissnerPort d’Informació Científica, Campus UABS.-M NiemiEuropean Space Agency/ESTEC
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We investigate the non-Gaussian features in the distribution of the matter power spectrum multipoles. Using the COVMOS method, we generated 100 000 mock realisations of dark matter density fields in both real and redshift space across multiple redshifts and cosmological models. We derived an analytical framework linking the non-Gaussianity of the power spectrum distribution to higher-order statistics of the density field, including the trispectrum and pentaspectrum. We explored the effect of redshift-space distortions, the geometry of the survey, the Fourier binning, the integral constraint, and the shot noise on the skewness of the distribution of the power spectrum measurements. Our results demonstrate that the likelihood of the estimated matter power spectrum significantly deviates from a Gaussian assumption on non-linear scales, particularly at low redshift. This departure is primarily driven by the pentaspectrum contribution, which dominates over the trispectrum at intermediate scales. We also examined the impact of the finiteness of the survey geometry in the context of the Euclid mission, and we find that both the shape of the survey and the integral constraint amplify the skewness.

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